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Finding the Fourth Proportional to 6,445.08, 9,667.80 and 2,065.80

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Solution

The fourth proportional to 6,445.08, 9,667.80 and 2,065.80 is: 3,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.08 : 9,667.80 = 2,065.80 : x
  2. Step 2: Convert to fraction form
    6,445.08/9,667.80 = 2,065.80/x
  3. Step 3: Cross multiply
    6,445.08x = 9,667.80 × 2,065.80
  4. Step 4: Simplify right side
    6,445.08x = 19,971,741.24
  5. Step 5: Solve for x
    x = 19,971,741.24/6,445.08
  6. Step 6: Final answer
    x = 3,098.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.